Question

The student council at a local high school is sponsoring a dance. to determine how much money to spend on pizza and soda, they make the following assumptions: · of the 2,500 students in the high school, 30% of the students will attend the dance. · of the students who attend the dance, about 25% of the students will buy a slice of pizza. · of the students who attend the dance, about 75% of the students will purchase a soda; all other students will purchase a water bottle. · the pizzas they are purchasing cost $5 and can be cut into eight slices. · sam’s club sells sodas for $0.45 each and water bottles for $0.35 each. approximately how much should they expect to spend on pizza, soda, and water?

Answer 1

To determine how much money the student council should expect to spend on pizza, soda, and water for the dance, follow these steps: calculate the number of students attending, calculate the number of students buying pizza, calculate the number of students buying soda, calculate the number of students buying water, calculate the total number of pizzas needed, calculate the total cost of pizzas, calculate the total cost of sodas, calculate the total cost of water bottles, and calculate the overall total cost.

Step-by-step explanation:

To determine how much money the student council should expect to spend on pizza, soda, and water for the dance, we need to calculate the quantities and prices for each item. Here is the step-by-step process:

1. Calculate the number of students who will attend the dance by multiplying the total number of students by the attendance rate: 2,500 students x 30% = 750 students.
2. Calculate the number of students who will buy a slice of pizza by multiplying the number of students attending by the pizza purchasing rate: 750 students x 25% = 187.5 students. Since we can't have half a student, we round this down to the nearest whole number, which is 187 students.
3. Calculate the number of students who will purchase a soda by multiplying the number of students attending by the soda purchasing rate: 750 students x 75% = 562.5 students. Rounding this down to the nearest whole number gives us 562 students.
4. Calculate the number of students who will purchase a water bottle by subtracting the number of students buying soda from the total number of students attending: 750 students - 562 students = 188 students.
5. Calculate the total number of pizzas needed by dividing the number of students buying pizza by the number of slices per pizza: 187 students / 8 slices = 23.375 pizzas. Rounding this up to the nearest whole number gives us 24 pizzas.
6. Calculate the total cost of pizzas by multiplying the number of pizzas by the cost per pizza: 24 pizzas x $5 = $120.
7. Calculate the total cost of sodas by multiplying the number of students buying soda by the cost per soda: 562 students x $0.45 = $252.90.
8. Calculate the total cost of water bottles by multiplying the number of students buying water bottles by the cost per water bottle: 188 students x $0.35 = $65.80.
9. Calculate the overall total cost by adding the costs of pizzas, sodas, and water bottles: $120 + $252.90 + $65.80 = $438.70.

Therefore, the student council should expect to spend approximately $438.70 on pizza, soda, and water for the dance.